The problem centers on Huntington Park, a one-square-block patch of greenery at the apex of Nob Hill, where some residents have complained about poor enforcement of leash laws and others now worry about excessive enforcement.
A 73-year-old woman was hospitalized after being bitten in the leg by an unleashed dog at the park in November, according to police.
In December 2008, a 66-year-old woman was injured when a pack of unleashed dogs knocked her to the ground, police said.
Residents say there have been several other complaints in recent years about unleashed dogs in the park.
But when the Recreation and Parks Department stepped up patrols, some complained of overzealous enforcement.
Supervisor David Chiu and Recreation and Parks Department general manager Phil Ginsburg are scheduled to attend tonight's meeting to discuss the issue and try to reach a resolution with both sides.
The meeting, organized by the Nob Hill Association, takes place at 5:30 p.m. at the nearby Grace Cathedral.